WG 4600 - No filaments
Check the CRT heater pins with the socket board off - that way you can be sure that you are measuring the heater, and not the supply circuit. Resistance, depending on your meter, will be 10 ohms or less.

Check the continuity of the supply circuit - also should be minimal resistance, depending on the surge limiting resistor in series with the filaments. 

Check it by sticking 2 wires in the appropriate pins of the crt socket - that way you can be sure the socket itself is good.

Resolder the connections to the flyback. Filament feed (and forgive me if I dont remember the particulars for the 4600) is generally a flyback winding, one end grounded, the other fed to the CRT socket PCB through a resistor, often 2.2 ohms. That resistor can be either on the chassis or on the CRT PCB.

Filament voltage should be 6.3 VAC; again, depending on the meter, your readings will vary as meters differ in how they handle relatively hi frequency AC (supplies from the flyback are at 15750 hz) until or unless they rectified and filtered.